Week 5:
Due Tuesday, February 6: Due to the snow day, we will have the Quiz today, on the same material as planned. Read sections 8.5 and do the practice problems. Do but don't hand in: problems 2, 4, 5 of section 8.5 on pages 364, 365, Hand in: Problems 11, 12 on pages 344, 345 of section 8.2.
Wednesday, Feb 7: no office hours since I will be in Dallas.
Due Thursday, February 8: Read section 8.6 and do the practice problems. Do but don't hand in: problems 1 and 2 of section 8.6 on page 371. Hand in: the following two problems. For these problems, the following are not allowed: measuring with a ruler or protractor, deciding where to put a point or line "by eye" rather than using a precise method (e.g., to create a perpendicular line), using a pre-made right angle. 1) Draw a line segment AB. Using a compass and straightedge only, construct a line that goes through A and is perpendicular to AB. Leave your construction marks (don't erase them) and list the steps of you construction (no explanation needed). 2) Draw a point and a large circle with that point as center. Now use a compass and straightedge to construct an octogon (8 sided) such that all its vertices lie on the circle and all its edges are the same length. Leave your construction marks to show how you constructed your octogon and list your steps. No explanation needed.
Week 6:
Due Tuesday, February 13: Read section 8.7 and do the practice problems. Do but don't hand in: problems 1, 3, 4, 14, 15 on pages 381, 382. Hand in: Problems 6 and 9 on page 381, and also (counts as 2 problems): for each of patterns 1, 2, 3, 4, determine if the pattern makes a prism or a pyramid or neither one of those kinds of shapes. If the pattern *does* make a prism or pyramid, state what a base (or bases) are. If the pattern *does not* make a prism or pyramid, draw a picture showing how the pattern could be cut apart into pieces, each of which makes either a prism or pyramid. State what shape each piece makes and what the base(s) is (are) (even though these may not be on the paper pattern).
Check out these interesting websites on geodesic domes, creating geodesic domes from Platonic solids, Archimedean solids, and links to Platonic solids in nature.
Scaling demo using Geometer's Sketchpad
Due Thursday, February 15: Read section 9.4 to page 417 and do practice problems 1- 6. Quiz on constructions and triangle congruence criteria. Be able to carry out constructions with compass and straightedge and explain why the constructions produce the desired objects. Be able to explain why the various congruence criteria make sense. Be able to show that some standard constructions produce isosceles triangles or rhombuses and explain that the properties of such figures yield the desired results in the constructions.